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Rotation about the Origin by Bobby Knurek

Rotation about the Origin by Bobby Knurek
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2015-02-05 03:47
AngleTransformationGeometric Construction
This example demonstrates how to rotate an object about the origin. Key mathematical concepts include rotation transformations and the symmetry of geometric shapes. Using GeoGebra commands such as Polygon, Intersect, Rotate, Segment, and Angle, the rotated figure can be constructed. Suitable for students at the junior high school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → O
  3. Rotate(A, (-α), O) → A'
  4. Rotate(B, (-α), O) → B'
  5. Rotate(C, (-α), O) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Segment(B, O) → d
  8. Segment(B', O) → e
  9. Angle(B', O, B) → β